Sökning: "Sverker Holmgren"

Visar resultat 1 - 5 av 31 avhandlingar innehållade orden Sverker Holmgren.

1. 1. Fast Solvers for First-order PDE

   Författare :Sverker Holmgren; Bertil Gustafsson; Howard Elman; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Numerical Analysis; Numerisk analys;

   Sammanfattning : .... LÄS MER

3. 2. Convergence Acceleration for Flow Problems

   Författare :Henrik Brandén; Sverker Holmgren; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Computational fluid dynamics; convergence acceleration; semicirculant preconditioning; fundamental solutions; Numerical Analysis; Numerisk analys;

   Sammanfattning : Convergence acceleration techniques for the iterative solution of system of equations arising in the discretisations of compressible flow problems governed by the steady state Euler or Navier-Stokes equations is considered. The system of PDE is discretised using a finite difference or finite volume method yielding a large sparse system of equations. LÄS MER

4. 3. Adaptive Solvers for High-Dimensional PDE Problems on Clusters of Multicore Processors

   Författare :Magnus Grandin; Sverker Holmgren; Michael Thuné; Michael Bader; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; adaptive mesh refinement; anisotropic refinement; exponential integrators; Lanczos algorithm; hybrid parallelization; time-dependent Schrödinger equation; Scientific Computing; Beräkningsvetenskap;

   Sammanfattning : Accurate numerical solution of time-dependent, high-dimensional partial differential equations (PDEs) usually requires efficient numerical techniques and massive-scale parallel computing. In this thesis, we implement and evaluate discretization schemes suited for PDEs of higher dimensionality, focusing on high order of accuracy and low computational cost. LÄS MER

5. 4. Towards an adaptive solver for high-dimensional PDE problems on clusters of multicore processors

   Författare :Magnus Gustafsson; Sverker Holmgren; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Scientific Computing; Beräkningsvetenskap;

   Sammanfattning : Accurate numerical simulation of time-dependent phenomena in many spatial dimensions is a challenging computational task apparent in a vast range of application areas, for instance quantum dynamics, financial mathematics, systems biology and plasma physics. Particularly problematic is that the number of unknowns in the governing equations (the number of grid points) grows exponentially with the number of spatial dimensions introduced, often referred to as the curse of dimensionality. LÄS MER

7. 5. Multiscale Stochastic Simulation of Reaction-Transport Processes : Applications in Molecular Systems Biology

   Författare :Andreas Hellander; Per Lötstedt; Sverker Holmgren; Samuel Isaacson; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; stochastic simulation; chemical master equation; reaction-diffusion master equation; unstructured mesh; active transport; hybrid methods; URDME; Scientific Computing; Beräkningsvetenskap;

   Sammanfattning : Quantitative descriptions of reaction kinetics formulated at the stochastic mesoscopic level are frequently used to study various aspects of regulation and control in models of cellular control systems. For this type of systems, numerical simulation offers a variety of challenges caused by the high dimensionality of the problem and the multiscale properties often displayed by the biochemical model. LÄS MER